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Finding the Fourth Proportional to 14,831, 20,466.78 and 8,207

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Solution

The fourth proportional to 14,831, 20,466.78 and 8,207 is: 11,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,831 : 20,466.78 = 8,207 : x
  2. Step 2: Convert to fraction form
    14,831/20,466.78 = 8,207/x
  3. Step 3: Cross multiply
    14,831x = 20,466.78 × 8,207
  4. Step 4: Simplify right side
    14,831x = 167,970,863.46
  5. Step 5: Solve for x
    x = 167,970,863.46/14,831
  6. Step 6: Final answer
    x = 11,325.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.